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Finding the Third Proportional to 142,975.13 and 304,927.03

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Solution

The third proportional to 142,975.13 and 304,927.03 is: 650,326.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,975.13 : 304,927.03 = 304,927.03 : x
  2. Step 2: Convert to fraction form
    142,975.13/304,927.03 = 304,927.03/x
  3. Step 3: Cross multiply
    142,975.13x = 304,927.03 × 304,927.03
  4. Step 4: Simplify right side
    142,975.13x = 92,980,494,386.94
  5. Step 5: Solve for x
    x = 92,980,494,386.94/142,975.13
  6. Step 6: Final answer
    x = 650,326.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.